A reproducing kernel enhanced approach for peridynamic solutions

Pasetto, Marco; Leng, Yu; Chen, Jiun -Shyan; Foster, John T.; Seleson, Pablo D.

doi:10.1016/j.cma.2018.05.010

Title: A reproducing kernel enhanced approach for peridynamic solutions

Journal Article · Tue May 22 00:00:00 EDT 2018 · Computer Methods in Applied Mechanics and Engineering

DOI:https://doi.org/10.1016/j.cma.2018.05.010· OSTI ID:1465030

Pasetto, Marco ^[1]; Leng, Yu ^[2];

^[1]; Foster, John T. ^[2];

^[3]

Univ. of California San Diego, La Jolla, CA (United States)
The Univ. of Texas at Austin, Austin, TX (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

The most common discretization method for peridynamic models used in engineering problems is the node-based meshfree approach. This method discretizes peridynamic domains by a set of nodes, each associated with a nodal cell with a characteristic volume, leading to a particle-based description of continuum systems. The behavior of each particle is then considered representative of its cell. This limits the convergence rate to the first order. In this paper, we introduce a reproducing kernel (RK) approximation to the field variables in the peridynamic equations to increase the order of convergence of peridynamic numerical solutions. Furthermore, the numerical results demonstrate improved convergence rates in static peridynamic problems using the proposed method.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 1465030

Alternate ID(s):: OSTI ID: 1548232

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Vol. 340, Issue C; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 28 works

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